Solve T=RtanDelta/2

$$T = R \tan \frac { \Delta } { 2 }$$

Solve for R

$$\left\{\begin{matrix}R=T\cot(\frac{\Delta }{2})\text{, }&\exists n_{3}\in \mathrm{Z}\text{ : }\left(\Delta >\pi n_{3}\text{ and }\Delta <\pi n_{3}+\pi \right)\\R\in \mathrm{R}\text{, }&T=0\text{ and }\exists n_{2}\in \mathrm{Z}\text{ : }\Delta =2\pi n_{2}\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\Delta =2\pi n_{1}+\pi \end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$R\tan(\frac{\Delta }{2})=T$$

The equation is in standard form.

$$\tan(\frac{\Delta }{2})R=T$$

Divide both sides by \tan(\frac{1}{2}\Delta ).

$$\frac{\tan(\frac{\Delta }{2})R}{\tan(\frac{\Delta }{2})}=\frac{T}{\tan(\frac{\Delta }{2})}$$

Dividing by \tan(\frac{1}{2}\Delta ) undoes the multiplication by \tan(\frac{1}{2}\Delta ).

$$R=\frac{T}{\tan(\frac{\Delta }{2})}$$

Divide T by \tan(\frac{1}{2}\Delta ).

$$R=T\cot(\frac{\Delta }{2})$$

Solve for T

$$T=R\tan(\frac{\Delta }{2})$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\Delta =2\pi n_{1}+\pi$$